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k -Valued Wilson functions
Aequationes Mathematicae ( IF 0.9 ) Pub Date : 2021-02-12 , DOI: 10.1007/s00010-021-00784-z
Henrik Stetkær

We study k-valued solutions of Wilson’s \(\mu \)-functional equation on semigroups and monoids where k is an algebraically closed field of characteristic \(\ne 2\). As applications we solve the functional equation on some finite groups and find the continuous, complex valued solutions on compact groups.



中文翻译:

k值的威尔逊函数

我们研究半群和单半体上的威尔逊\(\ mu \) -函数方程的k值解,其中k是特征\(\ ne 2 \)的代数闭合域。作为应用程序,我们在一些有限的组上求解泛函方程,并在紧的组上找到连续的,复数值解。

更新日期:2021-02-12
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